CBSE Guess > Papers > Important Questions > Class X > Maths > Mathematics By Mr. Sanjay Kumar

Chapter - 16

Q. 176. Check whether the given points form a right-angled triangle or not: (i) A(8,4), B(5,7), C(-1,1) (ii) A(1,2), B(5,3), C(18,6).

Q. 177. Determine the type of the triangle formed by the points: (i) A(10,-18), B(3,6), C(-5,2) (ii) A(-2,0), B(2,3), C(1,-3).

Q. 178. If the point (x, y) is equidistant from the points (a + b, b – a ) and (a – b , a + b), then find the relation between x and y.

Q. 179. Which point on x-axis is equidistant from the points: (i) (5,9) and (-4,6) (ii) (5,4) and (-2,3) (iii) (-2,5) and (2,-3).

Q. 180. Find the ratio in which the point (x, 1) divides the line joining the points (7,-2) and (-5, 6). Also find the value of x.

Q. 181. Find the ratio in which the line joining the points (-2,-3) and (5, 6) is divided by (i) x-axis (ii) y-axis.

Q. 182. Find the length of the medians of a triangle whose verticies are A(-1,3), B(1,-1) and C(5,1).

Q. 183. Prove that the point (3,3) is the centre of the circle passing through the points (6,2), (0,4) and (4,6). Also find its radius.

Q. 184. If one vertex of a triangle be (1, 1) and the mid-points of the sides through it are (-2, 3) and (5, 2). Find the other verticies.

Q. 185. A line is of length 5 and one end is at the point (1,-2); if the abscissa of the other end is 4, find its ordinates.